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What else can I help you with?
What must be true in order to add matrices?
They must have the same dimensions.
What is the order of the matrices?
2*2 3*3 4*4
What is the proof of the anticommutator relationship for gamma matrices?
The proof of the anticommutator relationship for gamma matrices shows that when you multiply two gamma matrices and switch their order, the result is the negative of the original product. This relationship is important in quantum field theory and helps describe the behavior of particles.
What is order of the resultant matrix AB when two matrices are multiplied and the order of the Matrix A is m n order of Matrix B is n p Also state the condition under which two matrices can be mult?
the order is m p and the matrices can be multiplied if and only if the first one (matrix A) has the same number of columns as the second one (matrix B) has rows i.e)is Matrix A has n columns, then Matrix B MUST have n rows.Equal Matrix: Two matrices A=|Aij| and B=|Bij| are said to be equal (A=B) if and only if they have the same order and each elements of one is equal to the corresponding elements of the other. Such as A=|1 2 3|, B=|1 2 3|. Thus two matrices are equal if and only if one is a duplicate of the other.
How can one determine the rate law from elementary steps in a chemical reaction?
To determine the rate law from elementary steps in a chemical reaction, you need to examine the slowest step, also known as the rate-determining step. The coefficients of the reactants in this step will give you the order of the reaction with respect to each reactant. The rate law can then be determined by combining the orders of the reactants from the rate-determining step.
True or False Abridging is the term used for combining efforts in order to get a unified and agreed upon result?
abridging is the term used for combining efforts in order to get a unified and agreed upon
Whether order and molecularity be equal in any case?
for every elementary reactions, order and molecularity are equal
Can you add two matrices with different dimensions?
No, you cannot add matricies of different dimention/order (i.e. different number of rows or columns)
Does the order of numbers matter for set form in algebra?
No, Order does not matter
Does order matter in multiplication?
No. Multiplication is commutative so the order of the multiplicands does not matter. Multiplication is associative so the order in which the operations are carried out does not matter.
Is the set of all 2x2 invertible matrices a subspace of all 2x2 matrices?
I assume since you're asking if 2x2 invertible matrices are a "subspace" that you are considering the set of all 2x2 matrices as a vector space (which it certainly is). In order for the set of 2x2 invertible matrices to be a subspace of the set of all 2x2 matrices, it must be closed under addition and scalar multiplication. A 2x2 matrix is invertible if and only if its determinant is nonzero. When multiplied by a scalar (let's call it c), the determinant of a 2x2 matrix will be multiplied by c^2 since the determinant is linear in each row (two rows -> two factors of c). If the determinant was nonzero to begin with c^2 times the determinant will be nonzero, so an invertible matrix multiplied by a scalar will remain invertible. Therefore the set of all 2x2 invertible matrices is closed under scalar multiplication. However, this set is not closed under addition. Consider the matrices {[1 0], [0 1]} and {[-1 0], [0 -1]}. Both are invertible (in this case, they are both their own inverses). However, their sum is {[0 0], [0 0]}, which is not invertible because its determinant is 0. In conclusion, the set of invertible 2x2 matrices is not a subspace of the set of all 2x2 matrices because it is not closed under addition.
Does it matter what order numbers are multiplied in?
No; it does not matter.
